Edit Profile (opens in new tab) Marsden, Jerrold Eldon (b. 1942 d. 2010) Co-Author Distance Author ID: marsden.jerrold-eldon Published as: Marsden, Jerrold E.; Marsden, J. E.; Marsden, Jerrold; Marsden, J.; Marsden, Jerry; Marsden, Jerrold Eldon; Marsden, Jerold more...less Further Spellings: Марсден Дж Homepage: http://www.cds.caltech.edu/~marsden/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 373 Publications since 1965, including 38 Books 21 Contributions as Editor · 7 Further Contributions Biographic References: 6 Publications Co-Authors: 204 Co-Authors with 353 Joint Publications 4,762 Co-Co-Authors all top 5 Co-Authors 42 single-authored 45 Ratiu, Tudor Stefan 24 Bloch, Anthony Michael 21 Fischer, Arthur Elliot 17 Weinstein, Alan David 15 Holm, Darryl Dallas 15 Krishnaprasad, P.s. 14 Alber, Mark S. 14 Koon, Wang Sang 14 Ortiz, Michael 12 Scheurle, Jürgen 11 Holmes, Philip J. 10 Shkoller, Steve 10 Simo, Juan Carlos 10 West, Matthew 9 Cendra, Hernán 9 Ross, Shane D. 8 Zenkov, Dmitry V. 7 Chang, Dong Eui 7 Desbrun, Mathieu 7 Hughes, Thomas J. R. 7 Lo, Martin W. 7 Pekarsky, Sergey 6 Choquet, Gustave 6 Ebin, David G. 6 Gelbart, Stephen S. 6 Kanso, Eva Adnan 6 Lance, T. 6 Leonard, Naomi Ehrich 6 Lewis, Debra 6 Moncrief, Vincent E. 5 Abraham, Ralph Herman 5 Camassa, Roberto 5 Chernoff, Paul R. 5 Dellnitz, Michael 5 Golubitsky, Martin A. 5 Krechetnikov, Rouslan 5 Kruse, Hans-Peter 5 Lekien, Francois 5 Tromba, Anthony Joseph 5 Yavari, Arash 5 Yoshimura, Hiroaki 4 Arms, Judith Meryl 4 Bou-Rabee, Nawaf M. 4 Castrillón López, Marco 4 Chorin, Alexandre Joel 4 Crouch, Peter E. 4 Du Toit, Philip C. 4 Ge, Zhong 4 Gotay, Mark J. 4 Jalnapurkar, Sameer M. 4 Luther, Gregory G. 4 Montgomery, Richard 4 Murray, Richard M. 4 Ober-Blöbaum, Sina 4 Owhadi, Houman 4 Posbergh, Thomas A. 4 Shadden, Shawn C. 4 Tao, Molei 4 Tong, Yiying 4 Wan, Yieh-Hei 3 Ball, John MacLeod 3 Choquet-Bruhat, Yvonne 3 Fetecau, Razvan C. 3 Gabern, Frederic 3 Lall, Sanjay 3 Leok, Melvin 3 McCracken, Marjorie F. 3 Mullen, Patrick 3 Pavlov, Dmitry V. 3 Perlmutter, Matthew 3 Raugel, Geneviève 3 Romero, Louis A. 3 Rowley, Clarence Worth 3 Schecter, Stephen 3 Wendlandt, Jeffrey M. 2 Baillieul, John B. 2 Beattie, Margaret 2 Buchner, Michael A. 2 Chillingworth, D. R. J. 2 Dabiri, John O. 2 Fedorov, Yuri N. 2 Gawlik, Evan S. 2 Hernández-Garduño, Antonio 2 Hoffman, Michael J. 2 Isenberg, James A. 2 Junge, Oliver 2 Khesin, Boris A. 2 Knops, Robin J. 2 Kobilarov, Marin 2 Krysl, Petr 2 Lew, Adrian J. 2 Leyendecker, Sigrid 2 Mahalov, Alex 2 Melbourne, Ian 2 Misiołek, Gerard 2 Mohseni, Kamran 2 Morrison, Philip J. 2 Nair, Sujit 2 Oh, Yong-Geun 2 O’Reilly, Oliver Mary ...and 154 more Co-Authors all top 5 Serials 18 Physica D 17 Archive for Rational Mechanics and Analysis 12 Communications in Mathematical Physics 10 Journal of Mathematical Physics 9 Canadian Mathematical Bulletin 8 Journal of Geometry and Physics 7 Nonlinearity 7 International Journal for Numerical Methods in Engineering 7 Bulletin of the American Mathematical Society 6 Reports on Mathematical Physics 6 Mathematics Lecture Note Series 5 Dynamics and Stability of Systems 5 Journal of Nonlinear Science 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 SIAM Journal on Mathematical Analysis 4 Celestial Mechanics and Dynamical Astronomy 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 4 Lecture Notes in Mathematics 4 Texts in Applied Mathematics 3 General Relativity and Gravitation 3 Automatica 3 IEEE Transactions on Automatic Control 3 Indiana University Mathematics Journal 3 SIAM Journal on Control and Optimization 3 Regular and Chaotic Dynamics 3 Foundations of Computational Mathematics 3 SIAM Journal on Applied Dynamical Systems 3 Publications du Département de Mathématiques 3 Contemporary Mathematics 3 Journal of Geometric Mechanics 2 Letters in Mathematical Physics 2 Physics Letters. A 2 Fluid Dynamics Research 2 Theoretical and Computational Fluid Dynamics 2 IEEE Transactions on Circuits and Systems 2 Memoirs of the American Mathematical Society 2 Proceedings of the American Mathematical Society 2 Systems & Control Letters 2 Differential Geometry and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 International Journal of Robust and Nonlinear Control 2 Topological Methods in Nonlinear Analysis 2 Nonlinear Science Today 2 Physics of Fluids 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Dynamical Systems 2 Communications on Pure and Applied Analysis 2 Multiscale Modeling & Simulation 2 Oberwolfach Reports 2 Dynamics of Partial Differential Equations 2 Applied Mathematical Sciences 2 Fields Institute Communications 2 Interdisciplinary Applied Mathematics 2 Mathematics Lecture Series 2 Journal of Physics A: Mathematical and Theoretical 2 Discrete and Continuous Dynamical Systems. Series S 2 Undergraduate Texts in Mathematics 1 American Mathematical Monthly 1 Classical and Quantum Gravity 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Reports 1 Reviews of Modern Physics 1 Advances in Mathematics 1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Philosophical Transactions of the Royal Society of London. Ser. A 1 Transactions of the American Mathematical Society 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Optimal Control Applications & Methods 1 Advances in Applied Mathematics 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 Journal of Elasticity 1 Journal of Physics A: Mathematical and General 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 The Canadian Applied Mathematics Quarterly 1 Discrete and Continuous Dynamical Systems 1 European Journal of Control 1 Chaos 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Discrete and Continuous Dynamical Systems. Series B ...and 12 more Serials all top 5 Fields 173 Dynamical systems and ergodic theory (37-XX) 162 Mechanics of particles and systems (70-XX) 76 Fluid mechanics (76-XX) 70 Differential geometry (53-XX) 63 Partial differential equations (35-XX) 61 Global analysis, analysis on manifolds (58-XX) 45 Mechanics of deformable solids (74-XX) 30 Systems theory; control (93-XX) 27 Numerical analysis (65-XX) 21 Ordinary differential equations (34-XX) 21 Relativity and gravitational theory (83-XX) 19 General and overarching topics; collections (00-XX) 15 Real functions (26-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Operator theory (47-XX) 11 Manifolds and cell complexes (57-XX) 9 Topological groups, Lie groups (22-XX) 8 Functional analysis (46-XX) 6 Measure and integration (28-XX) 6 Potential theory (31-XX) 4 Algebraic geometry (14-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Quantum theory (81-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 353 Publications have been cited 13,960 times in 8,749 Documents Cited by ▼ Year ▼ Mathematical foundations of elasticity. Zbl 0545.73031Marsden, Jerrold E.; Hughes, Thomas J. R. 731 1983 Foundations of mechanics. 2nd ed., rev., enl., and reset. With the assistance of Tudor Ratiu and Richard Cushman. Zbl 0393.70001Abraham, Ralph; Marsden, Jerrold E. 626 1978 Groups of diffeomorphisms and the motion of an incompressible fluid. Zbl 0211.57401Ebin, D. G.; Marsden, J. 593 1970 Manifolds, tensor analysis, and applications. 2nd ed. Zbl 0875.58002Abraham, R.; Marsden, J. E.; Ratiu, T. 524 1988 The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale. Zbl 0346.58007Marsden, J. E.; McCracken, M. 515 1976 Reduction of symplectic manifolds with symmetry. Zbl 0327.58005Marsden, Jerrold; Weinstein, Alan 487 1974 Discrete mechanics and variational integrators. Zbl 1123.37327Marsden, Jerrold E.; West, M. 423 2001 Introduction to mechanics and symmetry. A basic exposition of classical mechanical systems. 2nd ed. Zbl 0933.70003Marsden, Jerrold E.; Ratiu, Tudor S. 419 1999 The Euler-Poincaré equations and semidirect products with applications to continuum theories. Zbl 0951.37020Holm, Darryl D.; Marsden, Jerrold E.; Ratiu, Tudor S. 337 1998 Nonlinear stability of fluid and plasma equilibria. Zbl 0717.76051Holm, D. D.; Marsden, J. E.; Ratiu, T.; Weinstein, A. 241 1985 Multisymplectic geometry, variational integrators, and nonlinear PDEs. Zbl 0951.70002Marsden, Jerrold E.; Patrick, George W.; Shkoller, Steve 201 1998 Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov. Zbl 1045.70001Bloch, A. M. 201 2003 Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Zbl 1161.76487Shadden, Shawn C.; Lekien, Francois; Marsden, Jerrold E. 198 2005 Nonholonomic mechanical systems with symmetry. Zbl 0886.70014Bloch, Anthony M.; Krishnaprasad, P. S.; Marsden, Jerrold E.; Murray, Richard M. 189 1996 Lectures on analysis. Vol. II: Representation theory. Edited by J. Marsden, T. Lance and S. Gelbart. Zbl 0181.39602Choquet, Gustave 189 1969 Lectures on mechanics. Zbl 0744.70004Marsden, Jerrold E. 169 1992 Introduction to mechanics and symmetry: a basic exposition of classical mechanical systems. Zbl 0811.70002Marsden, Jerrold E.; Ratiu, Tudor S. 160 1994 Well-posed quasi-linear second-order hyperbolic systems with applications to nonlinear elastodynamics and general relativity. Zbl 0361.35046Hughes, Thomas J. R.; Kato, Tosio; Marsden, Jerrold E. 158 1977 General relativity. An Einstein centenary survey. Zbl 0424.53001 156 1979 Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators. Zbl 1369.70038Ge, Zhong; Marsden, Jerrold E. 144 1988 A mathematical introduction to fluid mechanics. Zbl 0417.76002Chorin, A. J.; Marsden, J. E. 126 1979 Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids. Zbl 0576.58008Marsden, Jerrold; Weinstein, Alan 122 1983 Controllability for distributed bilinear systems. Zbl 0485.93015Ball, J. M.; Marsden, J. E.; Slemrod, M. 114 1982 A mathematical introduction to fluid mechanics. 2nd ed. Zbl 0712.76008Chorin, A. J.; Marsden, J. E. 113 1990 Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems. Zbl 0969.70004Kane, C.; Marsden, J. E.; Ortiz, M.; West, M. 109 2000 Reduction of Poisson manifolds. Zbl 0602.58016Marsden, Jerrold E.; Ratiu, Tudor 108 1986 A mathematical introduction to fluid mechanics. 3. ed. Zbl 0774.76001Chorin, Alexandre J.; Marsden, Jerrold E. 108 1993 Manifolds, tensor analysis, and applications. Zbl 0508.58001Abraham, Ralph; Marsden, Jerrold E.; Ratiu, Tudor 101 1983 The geometry of peaked solitons and billiard solutions of a class of integrable PDE’s. Zbl 0808.35124Alber, Mark S.; Camassa, Roberto; Holm, Darryl D.; Marsden, Jerrold E. 99 1994 Semidirect products and reduction in mechanics. Zbl 0529.58011Marsden, Jerrold E.; Ratiu, Tudor; Weinstein, Alan 98 1984 Product formulas and numerical algorithms. Zbl 0358.65082Chorin, Alexandre J.; Hughes, Thomas J. R.; McCracken, Marjorie F.; Marsden, Jerrold E. 96 1978 Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics. Zbl 0987.70010Koon, Wang Sang; Lo, Martin W.; Marsden, Jerrold E.; Ross, Shane D. 95 2000 Controlled Lagrangians and the stabilization of mechanical systems. I: The first matching theorem. Zbl 1056.93604Bloch, Anthony M.; Leonard, Naomi Ehrich; Marsden, Jerrold E. 94 2000 The Hamiltonian structure of the Maxwell-Vlasov equations. Zbl 1194.35463Marsden, Jerrold E.; Weinstein, Alan 92 1982 Mechanical integrators derived from a discrete variational principle. Zbl 0963.70507Wendlandt, Jeffrey M.; Marsden, Jerrold E. 92 1997 Variational time integrators. Zbl 1060.70500Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 91 2004 Hamiltonian reduction by stages. Zbl 1129.37001Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S. 89 2007 A subspace approach to balanced truncation for model reduction of nonlinear control systems. Zbl 1006.93010Lall, Sanjay; Marsden, Jerrold E.; Glavaški, Sonja 84 2002 The Einstein evolution equations as a first-order quasi-linear symmetric hyperbolic system. I. Zbl 0247.35082Fischer, Arthur E.; Marsden, Jerrold E. 84 1972 Stability of relative equilibria. I: The reduced energy-momentum method. Zbl 0738.70010Simo, J. C.; Lewis, Debra; Marsden, J. E. 82 1991 Asynchronous variational integrators. Zbl 1055.74041Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 82 2003 The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates. Zbl 0668.73014Simo, Juan C.; Marsden, Jerrold E.; Krishnaprasad, P. S. 80 1988 Reduction, symmetry, and phases in mechanics. Zbl 0713.58052Marsden, J. E.; Montgomery, R.; Ratiu, T. 80 1990 A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam. Zbl 0507.58031Holmes, Philip; Marsden, Jerrold 78 1981 Horseshoes in perturbations of Hamiltonian systems with two degrees of freedom. Zbl 0489.58013Holmes, Philip J.; Marsden, Jerrold E. 75 1982 Lagrangian reduction by stages. Zbl 1193.37072Cendra, Hernán; Marsden, Jerrold E.; Ratiu, Tudor S. 75 2001 Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-\(\alpha\)) equations on bounded domains. Zbl 1006.35074Marsden, Jerrold E.; Shkoller, Steve 74 2001 Symplectic-energy-momentum preserving variational integrators. Zbl 0983.70014Kane, C.; Marsden, J. E.; Ortiz, M. 73 1999 The Hopf bifurcation and its applications. (Bifurkatsiya rozhdeniya tsikla i ee prilozheniya). Transl. from the English by L. M. Lerman. Transl. ed. by N. N. Bautin and E. A. Leontovich. Zbl 0545.58002Marsden, J. E.; McCracken, M. 72 1980 Melnikov’s method and Arnold diffusion for perturbations of integrable Hamiltonian systems. Zbl 0497.70025Holmes, Philip J.; Marsden, Jerrold E. 69 1982 Quasiconvexity at the boundary, positivity of the second variation and elastic stability. Zbl 0552.73006Ball, J. M.; Marsden, J. E. 67 1984 Connecting orbits and invariant manifolds in the spatial restricted three-body problem. Zbl 1115.70007Gómez, G.; Koon, W. S.; Lo, M. W.; Marsden, J. E.; Masdemont, J.; Ross, S. D. 66 2004 Controlled Lagrangians and the stabilization of mechanical systems. II: Potential shaping. Zbl 1057.93520Bloch, Anthony M.; Chang, Dong Eui; Leonard, Naomi Ehrich; Marsden, Jerrold E. 66 2001 Symmetry and bifurcations of momentum mappings. Zbl 0486.58008Arms, Judith M.; Marsden, Jerrold E.; Moncrief, Vincent 65 1981 Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B. 64 2005 The Euler-Poincaré equations and double bracket dissipation. Zbl 0846.58048Bloch, Anthony; Krishnaprasad, P. S.; Marsden, Jerrold E.; Ratiu, Tudor S. 63 1996 Dynamical systems, the three-body problem and space mission design. Zbl 0985.70007Koon, Wang Sang; Lo, Martin W.; Marsden, Jerrold E.; Ross, Shane D. 61 2000 Properties of infinite dimensional Hamiltonian systems. Zbl 0301.58016Chernoff, Paul R.; Marsden, Jerrold E. 60 1974 Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties. Zbl 1221.37166Bou-Rabee, Nawaf; Marsden, Jerrold E. 59 2009 Horseshoes and Arnold diffusion for Hamiltonian systems and Lie groups. Zbl 0488.70006Holmes, Philip J.; Marsden, Jerrold E. 59 1983 Low energy transfer to the Moon. Zbl 0995.70009Koon, W. S.; Lo, M. W.; Marsden, J. E.; Ross, S. D. 58 2001 Stabilization of rigid body dynamics by internal and external torques. Zbl 0781.70020Bloch, A. M.; Krishnaprasad, P. S.; Marsden, J. E.; Sánchez de Alvarez, G. 56 1992 Hamiltonian structures and stability for rigid bodies with flexible attachments. Zbl 0624.58010Krishnaprasad, P. S.; Marsden, J. E. 56 1987 Deformations of the scalar curvature. Zbl 0336.53032Fischer, Arthur E.; Marsden, Jerrold E. 56 1975 Elementary classical analysis. Zbl 0285.26005Marsden, Jerrold E. 53 1974 Dimensional model reduction in nonlinear finite element dynamics of solids and structures. Zbl 1013.74071Krysl, P.; Lall, S.; Marsden, J. E. 51 2001 Lagrangian coherent structures in \(n\)-dimensional systems. Zbl 1144.81374Lekien, Francois; Shadden, Shawn C.; Marsden, Jerrold E. 50 2007 Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems. Zbl 1107.53053Yoshimura, Hiroaki; Marsden, Jerrold E. 48 2006 Variational integrators for constrained dynamical systems. Zbl 1153.70004Leyendecker, Sigrid; Marsden, Jerrold E.; Ortiz, Michael 48 2008 Variational methods, multisymplectic geometry and continuum mechanics. Zbl 1007.74018Marsden, Jerrold E.; Pekarsky, Sergey; Shkoller, Steve; West, Matthew 48 2001 Multisymplectic geometry, covariant Hamiltonians, and water waves. Zbl 0922.58029Marsden, Jerrold E.; Shkoller, Steve 47 1999 The Hamiltonian structure for dynamic free boundary problems. Zbl 0638.58044Lewis, Debra; Marsden, J.; Montgomery, R.; Ratiu, T. 46 1986 Homothetic and conformal symmetries of solutions to Einstein’s equations. Zbl 0604.53038Eardley, D.; Isenberg, J.; Marsden, J.; Moncrief, V. 46 1986 The anisotropic Lagrangian averaged Euler and Navier-Stokes equations. Zbl 1020.76014Marsden, Jerrold E.; Shkoller, Steve 46 2003 Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence. Zbl 1185.76263Mohseni, Kamran; Kosović, Branko; Shkoller, Steve; Marsden, Jerrold E. 46 2003 Dirac structures in Lagrangian mechanics. II: Variational structures. Zbl 1121.53057Yoshimura, Hiroaki; Marsden, Jerrold E. 45 2006 Discrete mechanics and optimal control: an analysis. Zbl 1357.49120Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E. 45 2011 On spatial and material covariant balance laws in elasticity. Zbl 1111.74004Yavari, Arash; Marsden, Jerrold E.; Ortiz, Michael 45 2006 Reconstruction equations and the Karhunen-Loève expansion for systems with symmetry. Zbl 0954.35144Rowley, Clarence W.; Marsden, Jerrold E. 44 2000 Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 43 2009 Finite element analysis of nonsmooth contact. Zbl 0963.74061Kane, C.; Repetto, E. A.; Ortiz, M.; Marsden, J. E. 42 1999 Reduction theory and the Lagrange-Routh equations. Zbl 1044.37043Marsden, Jerrold E.; Ratiu, Tudor S.; Scheurle, Jürgen 42 2000 The complex geometry of weak piecewise smooth solutions of integrable nonlinear PDE’s of shallow water and Dym type. Zbl 1001.37062Alber, Mark S.; Camassa, Roberto; Fedorov, Yuri N.; Holm, Darryl D.; Marsden, Jerrold E. 41 2001 Discrete Euler-Poincaré and Lie-Poisson equations. Zbl 0978.37045Marsden, Jerrold E.; Pekarsky, Sergey; Shkoller, Steve 41 1999 On the rotated stress tensor and the material version of the Doyle- Ericksen formula. Zbl 0567.73003Simo, Juan C.; Marsden, Jerrold E. 40 1984 The Hamiltonian and Lagrangian approaches to the dynamics of nonholonomic systems. Zbl 0929.70009Koon, Wang Sang; Marsden, Jerrold E. 40 1997 Reduction and reconstruction for self-similar dynamical systems. Zbl 1066.37036Rowley, Clarence W.; Kevrekidis, Ioannis G.; Marsden, Jerrold E.; Lust, Kurt 40 2003 Lagrangian reduction and the double spherical pendulum. Zbl 0778.70016Marsden, Jerrold E.; Scheurle, Jürgen 39 1993 Discrete Poincaré lemma. Zbl 1080.39021Desbrun, Mathieu; Leok, Melvin; Marsden, Jerrold E. 39 2005 Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M. 39 2003 Structure-preserving discretization of incompressible fluids. Zbl 1208.37047Pavlov, D.; Mullen, P.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. 38 2011 Bifurcation to divergence and flutter in flow-induced oscillations: An infinite dimensional analysis. Zbl 0385.93028Holmes, Philip; Marsden, Jerrold 38 1978 Manifolds of Riemannian metrics with prescribed scalar curvature. Zbl 0288.53040Fischer, Arthur E.; Marsden, Jerrold E. 37 1974 Structure-preserving model reduction for mechanical systems. Zbl 1041.70011Lall, Sanjay; Krysl, Petr; Marsden, Jerrold E. 37 2003 Dissipation induced instabilities. Zbl 0834.58025Bloch, A. M.; Krishnaprasad, P. S.; Marsden, J. E.; Ratiu, T. S. 36 1994 Applications of global analysis in mathematical physics. Zbl 0367.58001Marsden, Jerry 36 1974 Nonintrusive and structure preserving multiscale integration of stiff ODEs, SDEs, and Hamiltonian systems with hidden slow dynamics via flow averaging. Zbl 1215.65187Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. 35 2010 The reduced Euler-Lagrange equations. Zbl 0789.70013Marsden, Jerrold E.; Scheurle, Jürgen 35 1993 Lagrangian analysis of fluid transport in empirical vortex ring flows. Zbl 1185.76700Shadden, Shawn C; Dabiri, John O.; Marsden, Jerrold E. 35 2006 Geometric, variational discretization of continuum theories. Zbl 1366.37148Gawlik, E. S.; Mullen, P.; Pavlov, D.; Marsden, J. E.; Desbrun, M. 34 2011 Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. E Crouch, J. E. Marsden and D. Zenkov. With scientific input from P. S. Krishnaprasad and R. M. Murray. 2nd edition. Zbl 1381.70004Bloch, A. M. 29 2015 Geometric computational electrodynamics with variational integrators and discrete differential forms. Zbl 1337.78014Stern, Ari; Tong, Yiying; Desbrun, Mathieu; Marsden, Jerrold E. 20 2015 Regular reduction of controlled Hamiltonian system with symplectic structure and symmetry. Zbl 1393.70034Marsden, Jerrold E.; Wang, Hong; Zhang, Zhenxing 3 2014 Variational integrators for electric circuits. Zbl 1298.78024Ober-Blöbaum, Sina; Tao, Molei; Cheng, Mulin; Owhadi, Houman; Marsden, Jerrold E. 6 2013 Reduced variational formulations in free boundary continuum mechanics. Zbl 1260.37031Gay-Balmaz, François; Marsden, Jerrold E.; Ratiu, Tudor S. 19 2012 Integration of the EPDiff equation by particle methods. Zbl 1272.65079Chertock, Alina; Du Toit, Philip; Marsden, Jerrold Eldon 10 2012 A fiber bundle approach to the transpositional relations in nonholonomic mechanics. Zbl 1251.70016Maruskin, Jared M.; Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 7 2012 Covariantization of nonlinear elasticity. Zbl 1325.74029Yavari, Arash; Marsden, Jerrold E. 7 2012 Discrete mechanics and optimal control: an analysis. Zbl 1357.49120Ober-Blöbaum, Sina; Junge, Oliver; Marsden, Jerrold E. 45 2011 Structure-preserving discretization of incompressible fluids. Zbl 1208.37047Pavlov, D.; Mullen, P.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. 38 2011 Geometric, variational discretization of continuum theories. Zbl 1366.37148Gawlik, E. S.; Mullen, P.; Pavlov, D.; Marsden, J. E.; Desbrun, M. 34 2011 Discrete Lie advection of differential forms. Zbl 1222.35010Mullen, P.; McKenzie, A.; Pavlov, D.; Durant, L.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. 9 2011 From efficient symplectic exponentiation of matrices to symplectic integration of high-dimensional Hamiltonian systems with slowly varying quadratic stiff potentials. Zbl 1243.65149Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. 5 2011 Lyapunov constraints and global asymptotic stabilization. Zbl 1227.93101Grillo, Sergio; Marsden, Jerrold E.; Nair, Sujit 3 2011 Replica time integrators. Zbl 1242.74195Venturini, G.; Yang, J. Z.; Ortiz, M.; Marsden, J. E. 2 2011 Space-time FLAVORS: finite difference, multisymplectic, and pseudospectral integrators for multiscale PDEs. Zbl 1221.65229Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. 1 2011 Nonintrusive and structure preserving multiscale integration of stiff ODEs, SDEs, and Hamiltonian systems with hidden slow dynamics via flow averaging. Zbl 1215.65187Tao, Molei; Owhadi, Houman; Marsden, Jerrold E. 35 2010 Discrete mechanics and optimal control for constrained systems. Zbl 1211.49039Leyendecker, S.; Ober-Blöbaum, S.; Marsden, J. E.; Ortiz, M. 33 2010 Geometric discretization of nonholonomic systems with symmetries. Zbl 1197.37071Kobilarov, Marin; Marsden, Jerrold E.; Sukhatme, Gaurav S. 23 2010 The dynamics of a rigid body in potential flow with circulation. Zbl 1258.76051Vankerschaver, J.; Kanso, E.; Marsden, J. E. 11 2010 Vladimir I. Arnold – Collected works. Vol. I. Representations of functions, celestial mechanics, and KAM theory 1957-1965. Edited by Alexander B. Givental, Boris A. Khesin, Jerrold E. Marsden, Alexander N. Varchenko, Victor A. Vissilev, Oleg Ya. Viro and Vladimir M. Zakalyukin. Zbl 1187.01033Arnold, Vladimir I. 2 2010 Horseshoes in hurricanes. Zbl 1205.37032Du Toit, Philip C.; Marsden, Jerrold E. 2 2010 Controlled Lagrangians and stabilization of discrete mechanical systems. Zbl 1278.70021Bloch, Anthony M.; Leok, Melvin; Marsden, Jerrold E.; Zenkov, Dmitry V. 1 2010 Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties. Zbl 1221.37166Bou-Rabee, Nawaf; Marsden, Jerrold E. 59 2009 Quasivelocities and symmetries in non-holonomic systems. Zbl 1231.37034Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 43 2009 Lagrangian coherent structures in the planar elliptic restricted three-body problem. Zbl 1157.70004Gawlik, Evan S.; Marsden, Jerrold E.; Du Toit, Philip C.; Campagnola, Stefano 19 2009 The geometry and dynamics of interacting rigid bodies and point vortices. Zbl 1191.53055Vankerschaver, Joris; Kanso, Eva; Marsden, Jerrold E. 16 2009 Covariant balance laws in continua with microstructure. Zbl 1169.74009Yavari, Arash; Marsden, Jerrold E. 10 2009 Dirac cotangent bundle reduction. Zbl 1168.70314Yoshimura, Hiroaki; Marsden, Jerrold E. 10 2009 Coupled oscillator models with no scale separation. Zbl 1157.37343Du Toit, Philip; Mezić, Igor; Marsden, Jerrold 9 2009 Energy balance invariance for interacting particle systems. Zbl 1171.70007Yavari, Arash; Marsden, Jerrold E. 7 2009 Dissipation-induced instability phenomena in infinite-dimensional systems. Zbl 1273.76109Krechetnikov, Rouslan; Marsden, Jerrold E. 5 2009 A class of integrable flows on the space of symmetric matrices. Zbl 1231.37030Bloch, Anthony M.; Brînzănescu, Vasile; Iserles, Arieh; Marsden, Jerrold E.; Ratiu, Tudor S. 5 2009 The Jacobi-Maupertuis principle in variational integrators. Zbl 1182.65190Nair, Sujit; Ober-Blöbaum, Sina; Marsden, Jerrold E. 3 2009 Variational integrators for constrained dynamical systems. Zbl 1153.70004Leyendecker, Sigrid; Marsden, Jerrold E.; Ortiz, Michael 48 2008 Hamiltonian structure for a neutrally buoyant rigid body interacting with \(N\) vortex rings of arbitrary shape: The case of arbitrary smooth body shape. Zbl 1161.76447Shashikanth, Banavara N.; Sheshmani, Artan; Kelly, Scott David; Marsden, Jerrold E. 12 2008 Variational \(r\)-adaption in elastodynamics. Zbl 1158.74507Zielonka, M. G.; Ortiz, M.; Marsden, J. E. 11 2008 A discrete geometric optimal control framework for systems with symmetries. Zbl 1448.70012Kobilarov, Marin; Desbrun, Mathieu; Marsden, Jerrold E.; Sukhatme, Gaurav S. 9 2008 Covariant and dynamical reduction for principal bundle field theories. Zbl 1162.83347Castrillón López, Marco; Marsden, Jerrold E. 5 2008 Higher-order implicit function theorems and degenerate nonlinear boundary-value problems. Zbl 1156.34013Brezhneva, Olga A.; Tret’yakov, Alexey A.; Marsden, Jerrold E. 5 2008 Dissipation-induced heteroclinic orbits in tippe tops. Zbl 1138.70012Bou-Rabee, Nawaf M.; Marsden, Jerrold E.; Romero, Louis A. 4 2008 Optimal control and geodesics on quadratic matrix Lie groups. Zbl 1160.49018Bloch, Anthony M.; Crouch, Peter E.; Marsden, Jerrold E.; Sanyal, Amit K. 3 2008 Parametrization and stress-energy-momentum tensors in metric field theories. Zbl 1325.70054Castrillón López, Marco; Gotay, Mark J.; Marsden, Jerrold E. 2 2008 Hamiltonian reduction by stages. Zbl 1129.37001Marsden, Jerrold E.; Misiołek, Gerard; Ortega, Juan-Pablo; Perlmutter, Matthew; Ratiu, Tudor S. 89 2007 Lagrangian coherent structures in \(n\)-dimensional systems. Zbl 1144.81374Lekien, Francois; Shadden, Shawn C.; Marsden, Jerrold E. 50 2007 Dissipation-induced instabilities in finite dimensions. Zbl 1205.70002Krechetnikov, R.; Marsden, J. E. 32 2007 On the geometric character of stress in continuum mechanics. Zbl 1126.74003Kanso, Eva; Arroyo, Marino; Tong, Yiying; Yavari, Arash; Marsden, Jerrold E.; Desbrun, Mathieu 21 2007 Reduction of Dirac structures and the Hamilton-Pontryagin principle. Zbl 1141.53081Yoshimura, Hiroaki; Marsden, Jerrold E. 12 2007 Transport and stirring induced by vortex formation. Zbl 1151.76350Shadden, S. C.; Katija, K.; Rosenfeld, M.; Marsden, J. E.; Dabiri, J. O. 12 2007 Dirac structures and the Legendre transformation for implicit Lagrangian and Hamiltonian systems. Zbl 1130.37028Yoshimura, Hiroaki; Marsden, Jerrold E. 6 2007 Dirac structures in Lagrangian mechanics. I: Implicit Lagrangian systems. Zbl 1107.53053Yoshimura, Hiroaki; Marsden, Jerrold E. 48 2006 Dirac structures in Lagrangian mechanics. II: Variational structures. Zbl 1121.53057Yoshimura, Hiroaki; Marsden, Jerrold E. 45 2006 On spatial and material covariant balance laws in elasticity. Zbl 1111.74004Yavari, Arash; Marsden, Jerrold E.; Ortiz, Michael 45 2006 Lagrangian analysis of fluid transport in empirical vortex ring flows. Zbl 1185.76700Shadden, Shawn C; Dabiri, John O.; Marsden, Jerrold E. 35 2006 New methods in celestial mechanics and mission design. Zbl 1098.70013Marsden, Jerrold E.; Ross, Shane D. 15 2006 Discrete Routh reduction. Zbl 1090.37042Jalnapurkar, Sameer M.; Leok, Melvin; Marsden, Jerrold E.; West, Matthew 11 2006 On destabilizing effects of two fundamental non-conservative forces. Zbl 1159.70357Krechetnikov, R.; Marsden, J. E. 11 2006 Binary asteroid observation orbits from a global dynamical perspective. Zbl 1210.37064Gabern, F.; Koon, W. S.; Marsden, J. E.; Scheeres, D. J. 2 2006 Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Zbl 1161.76487Shadden, Shawn C.; Lekien, Francois; Marsden, Jerrold E. 198 2005 Locomotion of articulated bodies in a perfect fluid. Zbl 1181.76032Kanso, E.; Marsden, J. E.; Rowley, C. W.; Melli-Huber, J. B. 64 2005 Discrete Poincaré lemma. Zbl 1080.39021Desbrun, Mathieu; Leok, Melvin; Marsden, Jerrold E. 39 2005 Transport in dynamical astronomy and multibody problems. Zbl 1085.70012Dellnitz, Michael; Junge, Oliver; Koon, Wang Sang; Lekien, François; Lo, Martin W.; Marsden, Jerrold E.; Padberg, Kathrin; Preis, Robert; Ross, Shane D.; Thiere, Bianca 32 2005 Tricubic interpolation in three dimensions. Zbl 1140.76423Lekien, F.; Marsden, J. 26 2005 Pollution release tied to invariant manifolds: a case study for the coast of Florida. Zbl 1149.86302Lekien, Francois; Coulliette, Chad; Mariano, Arthur J.; Ryan, Edward H.; Shay, Lynn K.; Haller, George; Marsden, Jerry 22 2005 Nonholonomic dynamics. Zbl 1142.70006Bloch, Anthony M.; Marsden, Jerrold E.; Zenkov, Dmitry V. 17 2005 Theory and computation of non-RRKM lifetime distributions and rates in chemical systems with three or more degrees of freedom. Zbl 1099.37066Gabern, Frederic; Koon, Wang S.; Marsden, Jerrold E.; Ross, Shane D. 7 2005 Geometric mechanics and the dynamics of asteroid pairs. Zbl 1161.70334Cendra, H.; Marsden, J. E. 7 2005 Lagrangian averaging for compressible fluids. Zbl 1108.76070Bhat, H. S.; Fetecau, R. C.; Marsden, J. E.; Mohseni, K.; West, M. 7 2005 Relative equilibria for the generalized rigid body. Zbl 1088.37024Hernández-Garduño, Antonio; Lawson, Jeffrey K.; Marsden, Jerrold E. 6 2005 A geometric treatment of Jellett’s egg. Zbl 1149.70305Bou-Rabee, Nawaf M.; Marsden, Jerrold E.; Romero, Louis A. 6 2005 Spacecraft dynamics near a binary asteroid. Zbl 1144.37457Gabern, F.; Koon, W. S.; Marsden, J. E. 3 2005 The Lie-Poisson structure of the Euler equations of an ideal fluid. Zbl 1184.35257Vasylkevych, Sergiy; Marsden, Jerrold E. 3 2005 Set oriented computation of transport rates in 3-degree of freedom systems: the Rydberg atom in crossed fields. Zbl 1077.37522Dellnitz, M.; Grubits, K. A.; Marsden, J. E.; Padberg, K.; Thiere, B. 3 2005 The breadth of symplectic and Poisson geometry. Festschrift in honor of Alan Weinstein. Zbl 1062.53002 1 2005 Variational time integrators. Zbl 1060.70500Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 91 2004 Connecting orbits and invariant manifolds in the spatial restricted three-body problem. Zbl 1115.70007Gómez, G.; Koon, W. S.; Lo, M. W.; Marsden, J. E.; Masdemont, J.; Ross, S. D. 66 2004 Tippe top inversion as a dissipation-induced instability. Zbl 1147.70303Bou-Rabee, Nawaf M.; Marsden, Jerrold E.; Romero, Louis A. 19 2004 Controlled Lagrangian systems with gyroscopic forcing and dissipation. Zbl 1293.93645Woolsey, Craig; Reddy, Chevva Konda; Bloch, Anthony M.; Chang, Dong Eui; Leonard, Naomi Ehrich; Marsden, Jerrold E. 11 2004 Reduction of controlled Lagrangian and Hamiltonian systems with symmetry. Zbl 1076.70020Chang, Dong Eui; Marsden, Jerrold E. 6 2004 Time-frequency analysis of the restricted three-body problem: transport and resonance transitions. Zbl 1045.83020Vela-Arevalo, Luz V.; Marsden, Jerrold E. 3 2004 Cocycles, compatibility, and Poisson brackets for complex fluids. Zbl 1082.76011Cendra, Hernán; Marsden, Jerrold; Ratiu, Tudor S. 3 2004 Nonholonomic mechanics and control. With the collaboration of J. Baillieul, P. Crouch, and J. Marsden. With scientific input from P. S. Krishnaprasad, R. M. Murray, and D. Zenkov. Zbl 1045.70001Bloch, A. M. 201 2003 Asynchronous variational integrators. Zbl 1055.74041Lew, A.; Marsden, J. E.; Ortiz, M.; West, M. 82 2003 The anisotropic Lagrangian averaged Euler and Navier-Stokes equations. Zbl 1020.76014Marsden, Jerrold E.; Shkoller, Steve 46 2003 Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence. Zbl 1185.76263Mohseni, Kamran; Kosović, Branko; Shkoller, Steve; Marsden, Jerrold E. 46 2003 Reduction and reconstruction for self-similar dynamical systems. Zbl 1066.37036Rowley, Clarence W.; Kevrekidis, Ioannis G.; Marsden, Jerrold E.; Lust, Kurt 40 2003 Nonsmooth Lagrangian mechanics and variational collision integrators. Zbl 1088.37045Fetecau, R. C.; Marsden, J. E.; Ortiz, M.; West, M. 39 2003 Structure-preserving model reduction for mechanical systems. Zbl 1041.70011Lall, Sanjay; Krysl, Petr; Marsden, Jerrold E. 37 2003 Factor-analysis of nonlinear mappings: \(p\)-regularity theory. Zbl 1053.58004Tret’yakov, Alexey; Marsden, Jerrold E. 32 2003 Variational principles for Lie-Poisson and Hamilton-Poincaré equations. Zbl 1156.37314Cendra, Hernan; Marsden, Jerrold E.; Pekarsky, Sergey; Ratiu, Tudor S. 27 2003 Some remarks on Lagrangian and Poisson reduction for field theories. Zbl 1037.70016Castrillón López, Marco; Marsden, Jerrold E. 21 2003 Variational multisymplectic formulations of nonsmooth continuum mechanics. Zbl 1256.37039Fetecau, R. C.; Marsden, J. E.; West, M. 10 2003 Leapfrogging vortex rings: Hamiltonian structure, geometric phases and discrete reduction. Zbl 1032.76537Shashikanth, Banavara N.; Marsden, Jerrold E. 7 2003 Geometric derivation of the Delaunay variables and geometric phases. Zbl 1062.70010Chang, Dong Eui; Marsden, Jerrold E. 5 2003 Gyroscopic forces and collision avoidance with convex obstacles. Zbl 1203.93135Chang, Dong Eui; Marsden, Jerrold E. 4 2003 Perspectives and problems in nonlinear science. A celebratory volume in honor of Lawrence Sirovich. Zbl 1009.00024 2 2003 A subspace approach to balanced truncation for model reduction of nonlinear control systems. Zbl 1006.93010Lall, Sanjay; Marsden, Jerrold E.; Glavaški, Sonja 84 2002 The equivalence of controlled Lagrangian and controlled Hamiltonian systems. Zbl 1070.70013Chang, Dong Eui; Bloch, Anthony M.; Leonard, Naomi E.; Marsden, Jerrold E.; Woolsey, Craig A. 34 2002 Time-discretized variational formulation of non-smooth frictional contact. Zbl 1035.74043Pandolfi, A.; Kane, C.; Marsden, J. E.; Ortiz, M. 26 2002 Constructing a low energy transfer between Jovian moons. Zbl 1022.70013Koon, Wang Sang; Marsden, Jerrold E.; Ross, Shane D. 22 2002 ...and 253 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,754 Authors 143 Marsden, Jerrold Eldon 102 Holm, Darryl Dallas 81 Ratiu, Tudor Stefan 66 Gay-Balmaz, François 56 Martín de Diego, David 45 Bloch, Anthony Michael 37 de León Rodríguez, Manuel 33 Leok, Melvin 33 Llibre, Jaume 31 Ortiz, Michael 30 Simo, Juan Carlos 30 Tret’yakov, Alexey A. 30 Yavari, Arash 28 de la Llave, Rafael 28 Guha, Partha 27 Holmes, Philip J. 27 Wang, Yushun 26 Marrero, Juan Carlos 23 Śniatycki, Jędrzej 22 Leyendecker, Sigrid 22 McLachlan, Robert I. 22 Tronci, Cesare 21 Haller, George 20 Colombo, Leonardo Jesus 20 García-Naranjo, Luis C. 20 Marmo, Giuseppe 20 van der Schaft, Arjan J. 19 Bauer, Martin 19 Fischer, Arthur Elliot 19 Grmela, Miroslav 19 Modin, Klas 19 Preston, Stephen C. 19 Román-Roy, Narciso 18 Cendra, Hernán 18 Esen, Oğul 18 Kolev, Boris 18 Misiołek, Gerard 18 Ober-Blöbaum, Sina 18 Weinstein, Alan David 18 Yoshimura, Hiroaki 17 Ciarlet, Philippe Gaston 17 Froyland, Gary 17 Miehe, Christian 17 Muñoz-Lecanda, Miguel C. 17 Ortega, Juan-Pablo 17 Palacián, Jesús F. 17 Putkaradze, Vakhtang 17 Qin, Mengzhao 17 Steinmann, Paul 16 Balasuriya, Sanjeeva 16 Bruveris, Martins 16 Hong, Jialin 16 Khesin, Boris A. 16 Mestdag, Tom 16 Ohsawa, Tomoki 16 Ortega, Romeo S. 16 Sun, Yajuan 16 Tudoran, Răzvan Micu 15 Borisov, Alekseĭ Vladimirovich 15 Cruzeiro, Ana-Bela 15 Escher, Joachim 15 Ibrahimbegović, Adnan 15 Krishnaprasad, P.s. 15 Mariano, Paolo Maria 15 Prykarpatsky, Anatoliy Karolevych 15 Ross, Shane D. 15 Titi, Edriss Saleh 15 Wiggins, Stephen R. 15 Zenkov, Dmitry V. 14 Bridges, Thomas J. 14 Camassa, Roberto 14 Federico, Salvatore 14 Ibort, Alberto 14 Moncrief, Vincent E. 14 Montaldi, James A. 14 Neff, Patrizio 14 Olver, Peter John 14 Zuccalli, Marcela 13 Betsch, Peter 13 Birtea, Petre 13 Celledoni, Elena 13 Cotter, Colin John 13 Desbrun, Mathieu 13 Ebin, David G. 13 Fassò, Francesco 13 Ferrer, Sebastián 13 Jiménez, Fernando 13 Kanso, Eva Adnan 13 Koiller, Jair 13 Lenells, Jonatan 13 Leonard, Naomi Ehrich 13 Leung, Shingyu 13 Mamaev, Ivan Sergeevich 13 Mardare, Cristinel 13 Patrick, George W. 13 Romero, Ignacio 13 Ruggeri, Tommaso 13 Stoica, Cristina 13 Vankerschaver, Joris 13 Wan, Yieh-Hei ...and 9,654 more Authors all top 5 Cited in 691 Serials 340 Journal of Mathematical Physics 273 Computer Methods in Applied Mechanics and Engineering 272 Physica D 225 Journal of Computational Physics 225 Journal of Geometry and Physics 205 Communications in Mathematical Physics 191 Journal of Differential Equations 164 Journal of Nonlinear Science 162 Archive for Rational Mechanics and Analysis 131 Journal of Mathematical Analysis and Applications 125 Celestial Mechanics and Dynamical Astronomy 118 Journal of Fluid Mechanics 108 International Journal for Numerical Methods in Engineering 89 Nonlinear Dynamics 87 Journal of Geometric Mechanics 85 Regular and Chaotic Dynamics 80 Reports on Mathematical Physics 79 International Journal of Geometric Methods in Modern Physics 74 Automatica 74 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 73 Journal of Elasticity 73 Chaos 72 Transactions of the American Mathematical Society 69 Communications in Nonlinear Science and Numerical Simulation 68 Applied Mathematics and Computation 67 Acta Mechanica 66 Systems & Control Letters 61 Letters in Mathematical Physics 60 Nonlinear Analysis. 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Académie des Sciences, Paris ...and 591 more Serials all top 5 Cited in 62 Fields 2,242 Dynamical systems and ergodic theory (37-XX) 1,977 Partial differential equations (35-XX) 1,909 Mechanics of particles and systems (70-XX) 1,611 Fluid mechanics (76-XX) 1,323 Differential geometry (53-XX) 1,227 Mechanics of deformable solids (74-XX) 1,108 Numerical analysis (65-XX) 802 Ordinary differential equations (34-XX) 763 Global analysis, analysis on manifolds (58-XX) 536 Systems theory; control (93-XX) 471 Quantum theory (81-XX) 386 Calculus of variations and optimal control; optimization (49-XX) 369 Relativity and gravitational theory (83-XX) 307 Biology and other natural sciences (92-XX) 244 Statistical mechanics, structure of matter (82-XX) 212 Operator theory (47-XX) 195 Probability theory and stochastic processes (60-XX) 172 Topological groups, Lie groups (22-XX) 135 Functional analysis (46-XX) 125 Manifolds and cell complexes (57-XX) 121 Optics, electromagnetic theory (78-XX) 120 Computer science (68-XX) 118 Nonassociative rings and algebras (17-XX) 115 Geophysics (86-XX) 100 Classical thermodynamics, heat transfer (80-XX) 97 Operations research, mathematical programming (90-XX) 79 Algebraic geometry (14-XX) 72 Linear and multilinear algebra; matrix theory (15-XX) 66 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 60 Statistics (62-XX) 60 Information and communication theory, circuits (94-XX) 57 Several complex variables and analytic spaces (32-XX) 53 Real functions (26-XX) 51 Algebraic topology (55-XX) 46 Difference and functional equations (39-XX) 41 Astronomy and astrophysics (85-XX) 37 General and overarching topics; collections (00-XX) 36 Functions of a complex variable (30-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 32 General topology (54-XX) 29 History and biography (01-XX) 27 Approximations and expansions (41-XX) 26 Combinatorics (05-XX) 24 Number theory (11-XX) 24 Group theory and generalizations (20-XX) 24 Integral equations (45-XX) 22 Geometry (51-XX) 19 Mathematical logic and foundations (03-XX) 19 Special functions (33-XX) 17 Category theory; homological algebra (18-XX) 17 Measure and integration (28-XX) 17 Convex and discrete geometry (52-XX) 16 Associative rings and algebras (16-XX) 11 Commutative algebra (13-XX) 11 Abstract harmonic analysis (43-XX) 8 Potential theory (31-XX) 8 Integral transforms, operational calculus (44-XX) 7 Field theory and polynomials (12-XX) 5 \(K\)-theory (19-XX) 5 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Sequences, series, summability (40-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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